Finding the Third Proportional to 111,168 and 172,406

Step by Step Solution

1. Step 1: Write the proportion equation
   111,168 : 172,406 = 172,406 : x
2. Step 2: Convert to fraction form
   111,168/172,406 = 172,406/x
3. Step 3: Cross multiply
   111,168x = 172,406 × 172,406
4. Step 4: Simplify right side
   111,168x = 29,723,828,836
5. Step 5: Solve for x
   x = 29,723,828,836/111,168
6. Step 6: Final answer
   x = 267,377.56